Without using a calculator, match each expression to the correct point. Point Expression

A software engineer creates a LAN game where an 8 digit code made up of 1,2,3,4,5,6,7,8 has to be decided on, universal code . T

kotykmax [81]

Answer:

0.0143 = 1.43% probability that first 4 digits of the code are even numbers.

Step-by-step explanation:

Arrangements of n elements:

The number of possible arrangements of n elements is given by:

$A_{n} = n!$

Probability:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Desired outcomes:

First four digits are even(2, 4, 6 and 8 are even, so arrangements of 4 elements).

Last four digits are odd(1, 3, 5 and 7 are odd, so the last four elements are also arrangements of 4 elements). So

$D = 4!*4! = 24*24 = 576$

Total outcomes:

Arrangements of 8 digits. So

$T = A_{8} = 8! = 40320$

Probability:

$p = \frac{D}{T} = \frac{576}{40320} = 0.0143$

0.0143 = 1.43% probability that first 4 digits of the code are even numbers.

3 0

2 years ago

Determine whether 52c2y4 is a monomial, binomial, trinomial, or other polynomial.

neonofarm [45]

Answer: Monomial.

Step-by-step explanation:

Ok, when we have a polynomial with only one term, this is a monomial.

If the polynomial has two terms, this is a binomial.

If the polynomial has 3 terms, this is a trinomial.

And so on.

In this particular case we have:

52*c^2*y^4

Where c and y may be variables.

We can see that here we have only one term, so this would be a monomial.

(notice that the number of variables does not affect the type of polynomial in this case, only the number of terms)

5 0

2 years ago

20% of a number is 17.Find the number.

monitta

Answer:

85

Step-by-step explanation:

Let the number be x.

20% is equivalent to 1/5. Hence,

1/5 x = 17

x = 85

7 0

2 years ago

Choose which statements are true about Pi. Check all that apply. Piis a whole number. Piis double the radius. Piis approximately

Ludmilka [50]

Answer:

Answer in explanation

Step-by-step explanation:

In this question, we would be examining the validity of some statements on the number π(pi)

π Is a whole number?

This is wrong, π is a fraction of 22 to 7 parts I.e 22/7

π Is double the radius?

This is wrong. It is the diameter that is double the radius

π Is approximately 3.14?

This is correct to an extent. The actual value in decimal is around 3.142857142857143 which makes the 3.14 somehow correct

π represents the ratio of the circumference of the circle to the diameter?

This is correct.

Mathematically, circumference C = π * diameter D

Hence C/D = π

π Is approximately 22/7?

This is correct. This is the ratio used for π

7 0

2 years ago

Read 2 more answers

O find the minimum value of the quadratic expression −4x2+8x−25,

fredd [130]

Answer:

Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x

Step-by-step explanation:

we have

$-4x^{2}+8x-25$

This is a vertical parabola open downward

The vertex is a maximum

Find the vertex

step 1

Factor the leading coefficient -4

$-4(x^{2}-2x)-25$

step 2

Complete the square

$-4(x^{2}-2x+1-1)-25$

step 3

$-4(x^{2}-2x+1)-25+4$

$-4(x^{2}-2x+1)-21$

step 4

Rewrite as perfect squares

$-4(x-1)^{2}-21$

the vertex is the point (1,-21)

so

The maximum value of the quadratic equation is (1,-21)

therefore

Marla didn't use the right steps to complete the square. Maria made a mistake in step 1, she put 8x instead of -2x

5 0

2 years ago